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The hydrogen atom as relativistic bound-state system of a proton and an electron in the complex-mass scheme is investigated. Interaction of a proton and an electron in the atom is described by the Lorentz-scalar Coulomb potential; the…

Quantum Physics · Physics 2019-03-19 Mikhail N. Sergeenko

Hydrogen atom is studied as a quantum-classical hybrid system, where the proton is treated as a classical object while the electron is regarded as a quantum object. We use a well known mean-field approach to describe this hybrid hydrogen…

Quantum Physics · Physics 2013-09-24 Fei Zhan , Biao Wu

The hydrogen molecules $H_2$ and $(H_2)_2$ are analyzed with electronic correlations taken into account between the $1s$ electrons exactly. The optimal single-particle Slater orbitals are evaluated in the correlated state of $H_2$ by…

Strongly Correlated Electrons · Physics 2015-02-03 Andrzej P. Kądzielawa , Agata Bielas , Marcello Acquarone , Andrzej Biborski , Maciej M. Maśka , Józef Spałek

We theoretically investigate the quantum correlations (in terms of concurrence of indistinguishable electrons) in a prototype molecular system (hydrogen molecule). With the assistance of the standard approximations of the linear combination…

Quantum Physics · Physics 2016-11-18 Nikos Iliopoulos , Andreas F. Terzis

We present two methods of calculating the spatial entanglement of an interacting electron system within the framework of density-functional theory. These methods are tested on the model system of Hooke's atom for which the spatial…

Quantum Physics · Physics 2015-03-13 J. P. Coe , A. Sudbery , I. D'Amico

Quantum entanglement is a concept commonly used with reference to the existence of certain correlations in quantum systems that have no classical interpretation. It is a useful resource to enhance the mutual information of memory channels…

Quantum Physics · Physics 2009-11-13 Tina A. C. Maiolo , Fabio Della Sala , Luigi Martina , Giulio Soliani

The entanglement properties of two-electron atomic systems have been the subject of considerable research activity in recent years. These studies are still somewhat fragmentary, focusing on numerical computations on particular states of…

Quantum Physics · Physics 2015-06-11 A. P. Majtey , A. R. Plastino , J. S. Dehesa

We analyze the properties of the exact solution obtained by us recently for the extended Hetiler-London model for chemical bonding which has an analytic form. The emphasis is put on defining two-particle entanglement correlation as the…

Strongly Correlated Electrons · Physics 2024-06-11 Józef Spałek , Maciej Hendzel

We derive the exact reduced density matrix for the electrons in an analytically solvable electron-phonon model. Here, the electrons are described as a Luttinger liquid that is coupled to Einstein phonons. We further derive analytical…

Strongly Correlated Electrons · Physics 2022-11-23 Gergő Roósz , Karsten Held

We study the entanglement dynamics of accelerated atoms using the theory of open quantum systems. We consider two atoms travelling along different hyperbolic trajectories with different proper times. We use the generalized master equation…

High Energy Physics - Theory · Physics 2025-05-28 M. S. Soares , N. F. Svaiter , G. Menezes

We study the coherent dynamics of one- and two-electron transport in a linear array of tunnel-coupled quantum dots. We find that this system exhibits a rich variety of coherent phenomena, ranging from electron wavepacket propagation and…

Quantum Physics · Physics 2007-05-23 G. M. Nikolopoulos , D. Petrosyan , P. Lambropoulos

Entropic entanglement measures of a two-dimensional system of two Coulombically interacting particles confined in an anisotropic harmonic potential are discussed in dependence on the anisotropy and the interaction strength. The harmonic…

Quantum Physics · Physics 2017-07-18 Przemyslaw Koscik , Anna Okopinska

The quantum entanglement for the two electrons in three-body atomic systems such as the helium atom, the hydrogen negative ion and the positronium negative ion are investigated by employing highly correlated Hylleraas functions to represent…

Quantum Physics · Physics 2015-06-15 Chien-Hao Lin , Yen-Chang Lin , Yew Kam Ho

Modern quantum theory introduces quantum structures (decompositions into subsystems) as a new discourse that is not fully comparable with the classical-physics counterpart. To this end, so-called Entanglement Relativity appears as a…

Quantum Physics · Physics 2014-06-26 J. Jeknic-Dugic , M. Dugic , A. Francom , M. Arsenijevic

A non-moving electron hydrogen model is proposed, resolving a long standing contradiction (94 years) in the hydrogen atom. This, however, forces to not use the "in an orbit point particle kinetic energy" as the phenomenon responsible for…

General Physics · Physics 2007-05-23 Omar Yepez

Entanglement between two electrons belonging to an auto-ionization system and a neighbor two-level atom produced by the dipole-dipole interaction is studied. The entanglement is quantified using the quadratic negativity of a bipartite…

Quantum Physics · Physics 2015-06-03 Antonin Luks , Jan Perina , Wieslaw Leonski , Vlasta Perinova

The invariant mass of free particles is used to derive a bound-state equation for the hydrogen atom at rest. This equation has the well-known solutions for the single-particle states. Existence of two-particle bound states, for which the…

General Physics · Physics 2023-08-28 A. I. Agafonov

Closed-orbit theory provides a general approach to the semiclassical description of photo-absorption spectra of arbitrary atoms in external fields, the simplest of which is the hydrogen atom in an electric field. Yet, despite its apparent…

Chaotic Dynamics · Physics 2009-11-07 T. Bartsch , J. Main , G. Wunner

We show how entanglement may be quantified in spin and cold atom many-body systems using standard experimental techniques only. The scheme requires no assumptions on the state in the laboratory and a lower bound to the entanglement can be…

Quantum Physics · Physics 2013-05-29 M. Cramer , M. B. Plenio , H. Wunderlich

We consider a model for describing a QED system consisting of a photon beam interacting with quantized charged spinless particles. We restrict ourselves by a photon beam that consists of photons with two different momenta moving in the same…

Quantum Physics · Physics 2022-08-17 A. I. Breev , D. M. Gitman
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